Respuesta :
The radius of the hemisphere is 45 cm
Explanation:
Given:
Volume of the hemisphere, V = 60750π cm³
Radius of the hemisphere, r = ?
We know:
Volume of hemisphere = [tex]\frac{2\pi r^3 }{3}[/tex]
[tex]60750\pi = \frac{2\pi r^3 }{3} \\\\r^3 = 91125\\\\r = 45[/tex]
Therefore, the radius of the hemisphere is 45 cm
The radius of the hemisphere is 45 cm
The volume of a hemisphere is given by the formula
[tex]V = \frac{2}{3} \pi r^{3}[/tex]
Where V is the volume
and r is the radius
From the question,
V = 60750π cm³
Putting this into the formula,
We get
[tex]60750\pi = \frac{2}{3}\pi r^{3}[/tex]
∴ [tex]r^{3}= \frac{60750\pi \times 3}{2\pi}[/tex]
[tex]r^{3}= 91125[/tex]
∴ [tex]r =\sqrt[3]{91125}[/tex]
r = 45 cm
Hence, the radius of the hemisphere is 45 cm
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